Average customer rating:
- For the serious precalculus student
- Came in a good condition and very timely shipping
- Best math textbook I ever used!
|
Precalculus Enhanced With Graphing Utilities (3rd Edition)
Michael Sullivan
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover
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ASIN: 0130659150 |
Book Description
The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage a wide range of topics including functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions and their applications, analytic geometry, systems of equations and inequalities, probability, and an introduction to calculus. For anyone who needs to brush up on everyday or business-related mathematics.
Customer Reviews:
For the serious precalculus student.......2007-06-02
I teach high school math and reviewed many textbooks before I chose this title. The examples are diverse and the problem sets complete. Students will appreciate the excellent review at the end of each chapter. Completing this book will leave one in good stead to take calculus and linear algebra.
Came in a good condition and very timely shipping.......2005-09-26
Came in a good condition and very timely shipping
Best math textbook I ever used!.......2001-05-19
After going back into this book more and more I can only revise my opinion upward. Sullivan covers almost every topic before calculus and does it in a very straightforward manner. The text has rigor proving many important statements but this is never used in sacrifice of understanding. The student solution manual is also great and highly recomended. A great text and reference book.
Book Description
This text is part of the International Series in Pure and Applied Mathematics. It is designed for junior, senior, and first-year graduate students in mathematics and engineering. This edition preserves the basic content and style of earlier editions and includes many new and relevant applications which are introduced early in the text.
Customer Reviews:
needs complete student manual.......2007-09-28
could be better if included the solution manual for all the sections, not only for chapters 1-7
Very clear, great for learning and understanding quickly, a bit slow at times.......2006-06-16
This book is simply clearer than any other complex analysis book I've read, although it's not particularly advanced or concise.
This book is a great text for undergraduates studying complex analysis for the first time. It does not assume a strong background in rigorous analysis, making the material accessible to a wider audience.
At times I find that this book moves a bit slow for my personal taste, but what it loses in speed it makes up for in clarity. The explanations are always clear. I find that I never get stuck in a proof in this book. If there is a certain topic that I absolutely must understand, and I want to understand in a straightforward, useful way, as quick as possible, I turn to this book.
I would recommend this book for self-study as well as a textbook at the introductory level. It is not a particularly advanced book, and is not comprehensive as a reference for more advanced students, nor would it be a great choice for a graduate or advanced course.
If you like a well written, applied, operational kind book........2005-09-28
If you like mathematics but prefer an operational approach instead of the abstract approach, you will like this book.
An ideal complement to Calculus books (like Piskunov, Thomas Jr., etc.) that do not emphasize Complex Variables.
Clear explanations. Many examples. Relatively fast to read, that is, you will not stop the reading trying to demonstrate those boring "easy to show statements".
Pleased.......2005-07-05
The book was in great shape and I liked the math help websites included.
Excellent intro. to complex analysis!.......2004-06-19
This course was my first exposure to the mathematical field of analysis at the undergraduate level, and our school ditched Gamelin's book used two years ago in favor of this book. Just to give you an idea of the difference a book makes (it was the same teacher for both courses, mind you): when Gamelin was used, EVERYONE dropped out of the course; when Brown/Churchill was used, only one person dropped the course and half the class received A's!
Truly, this is a remarkable shift, and this book had a lot to do with it. I thought the organization was flawless (note: you will have to go through the book in order, as many examples depend on previous material), and starting from the beginning with the definition of a complex number was definitely the way to go, as about 1/3 of my class had never seen a complex number before. I loved the fact that there were many examples worked out (never explicitly showing people how to do the end-of-section exercises, but showing them the methods for where to go) and the major theorems were alloted many pages for clear proofs with diagrams and detailed explanations (an entire section was devoted to a proof of the Cauchy-Goursat theorem!). Also, the choices of problems were superb, with some routine exercises meant to get you thinking along the right tracks followed by some very difficult ones. Basically, enough to challenge even the ablest math student, but enough for the average one to get a grasp on the concepts as well.
The book also provides an advantage for the instructor as to what applications to teach. Granted, chapters 1-6 cover almost all the theory, but 7-12 are all applications (7 is "usually" considered theoretical as well, but it is called "applications of residues!") in physics, advanced calculus and geometry, and engineering. So, a professor could choose to emphasize only the theoretical parts and save the apps. for independent study (which my prof. did) or could teach the relevant theories coupled with some of the applications (conformal mapping with fluid flow and heat flow, for example). It truly is a versatile book.
I noticed a complaint on here about not having enough examples or worked-out proofs. Well, to that individual (and any others who might be having the same problem), this book is meant for an upper-level undergraduate course, which means that there are going to be less examples worked out in great detail, the proofs may just be thumbnail sketches, and the problems will not have a quick reference page in the chapter for a formula or method like in calculus, for example; even though the book is versatile, a lot of the learning still falls on the student's shoulders.
My one and only gripe is that the book didn't take a lot of time to spell out how to perform a delta-epsilon proof for limits, which is one of the basic proofs in analysis. But, luckily, I had a very patient instructor who was willing to walk it through with me (most of the rest of the class had already had real analysis, so they didn't need to go over it). But, still, it's not enough to take it down a star, in my opinion.
They say this book is among the canon of undergraduate mathematics, and I can certainly see why. What a great introduction to complex analysis! This book will definitely be accompanying me to grad school!
Book Description
By introducing logic and by emphasizing the structure and nature of the arguments used, this book helps readers transition from computationally oriented mathematics to abstract mathematics with its emphasis on proofs. Uses clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers. Offers a new boxed review of key terms after each section. Rewrites many exercises. Features more than 250 true/false questions. Includes more than 100 practice problems. Provides exceptionally high-quality drawings to illustrate key ideas. Provides numerous examples and more than 1,000 exercises. A thorough reference for readers who need to increase or brush up on their advanced mathematics skills.
Customer Reviews:
Great book.......2007-04-29
Analysis at this level is probably the most challenging class for an undergraduate degree. However, this book made it very manageable. I found the introduction to proof very helpful. I encourage anyone who is using this book to study this chapter ahead of time. It will make the subsequent chapters a lot easier to handle. If it was not for this book and the outsdanting professor I had, I would never have passed this class. Go for it!
good to go.......2005-09-29
The book arrived in good condition and I have not had any problems with it.
Definitely a good first text.......2002-09-05
I bought this book because I have been looking for a Introductory analysis text that isn't too advanced, but yet doesn't gloss over the essential stuff, and I found it in Lay's book. For the self-studier, this book is excellent! I have several books on analysis: Shilov, Kolomogorov, Rosenlicht, Ross,etc... For the beginner, this book is superior to all of them. A plethora of examples. Also, a good range of problems:from straight forward problems requiring only the use of a definition to more advanced problems requiring a little thought. If you already have had some Analysis, then this book is probably not for you. But, if you are a student who wants to learn Analysis on your own, then this book would be hard to beat. After this book, one should be able to tackle "Papa Rudin". For according to Rudin, all that is needed to study his "Real and Complex Analysis" tome, is the first seven chapters of his "Principles of Mathematical Analysis". This book covers all that Rudin covers with the exception of Riemann-Stieltjes integration. On the whole, this is a great start! If proof-based math is new to you, then you will appreciate the first chapter on proofs. Would have given five stars, but I would have liked to seen Riemann-Stieltjes integration. That's really only nit picking, though.
This book was surprisingly good.......2002-07-03
I didn't think this book was going to be very good, but the author has "proved" me wrong ;-) This book starts out so basic that in my class (which was the first analysis course in our math department) we actually skipped the first 1/3 or so of the book. The first 9 or 10 sections consist of stuff like basic set theory, logic, definition of a function, etc. I would think that even the most elementary Analysis books would completely leave this out and expect that the reader is already familiar with this. So if you need it, this book will be a good resource for you.
Then the book goes into a very nice introduction to topology. Basic concepts like open/closed sets, accumulation points, compact sets, etc. Topology can be a little intimidating simply because it's _so_ abstract, but this book makes the basic concepts very easy to understand, and prepares one for a more advanced course in topology. Alot of (good) Elementary Analysis books leave topology out, but I'm glad this book contained it. It is a very interesting subject.
All the material in the book is explained probably about as easily as the concepts CAN be explained. If you still have trouble with it, you might consider a different major. Not to say that this book transforms a very difficult subject into a pathetically easy piece of cake because that's impossible, but the material is presented probably as easily as it can be in order to maintain precision and detail (which is the whole point of Analysis).
The book is definitely not running short in the examples or end-of-section problems department, so that is another plus. The problems at the end of each section range in difficulty from problems that almost exactly match an example worked in detail in the section, to fairly challenging problems. With enough time though the average student could probably do every problem at the end of every section.
I'd recommend this book for self study as well as a supplement to any introductory analysis course. If you have already have exposure to rigorous proof of calculus theorems, then this book will probably be too basic for you.
The reason this book got 4 stars instead of 5 is because of its utterly ridiculous price. Just as good is Elementary Analysis: The Theory of Calculus, ISBN: 038790459X, except that it doesn't include the section on Topology ...
Average customer rating:
- HORRIBLE BOOK!
- from a student...
- Wonderful precalculus deep inside the functions and modeling
- Incomplete, discouraging, Unhelpfull book that only hinders the learning process
- A travesty for the money
|
Functions Modeling Change :A Preparation For Calculus
Eric Connally ,
Deborah Hughes-Hallett ,
Andrew M. Gleason ,
Philip Cheifetz ,
Daniel E. Flath ,
Patti Frazer Lock ,
Karen Rhea ,
Carl Swenson ,
Frank Avenoso ,
Ann Davidian ,
Brigitte Lahme ,
Jerry Morris ,
Pat Shure ,
Katherine Yoshiwara , and
Elliot J. Marks
Manufacturer: Wiley
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Binding: Hardcover
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Functions Modeling Change: A Preparation for Calculus
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Accessories:
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Graphing Calculator Guide for the TI-83 to accompany Functions Modeling Change: A Preparation for Calculus, 2nd Edition
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Student Study Guide to accompany Functions Modeling Change: A Preparation for Calculus, 2nd Edition
ASIN: 0471266191 |
Book Description
This is a new edition of the precalculus text developed by the Consortium based at Harvard University and funded by a National Science Foundation Grant. The text is thought-provoking for well-prepared students while still accessible to students with weaker backgrounds. It provides numerical and graphical approaches as well as algebraic approaches to give students another way of mastering the material. This approach encourages students to persist, thereby lowering failure rates. A large number of real-world examples and problems enable students to create mathematical models that will help them understand the world in which they live.
The focus is on those topics that are essential to the study of calculus and these topics are treated in depth.
- Linear, exponential, power, and periodic functions are introduced before polynomial and rational functions to take advantage of their use to model physical phenomena.
- Building on the Consortium's Rule of Four: Each function is represented symbolically, numerically, graphically, and verbally where appropriate.
Customer Reviews:
HORRIBLE BOOK!.......2007-06-27
I am currently taking pre-cac in summer school and I fear I will have to drop the class! This book is ABSOLUTELY HORRIBLE in presenting concepts and helping to guide you through the process on figuring things out. There is no reason why I should read a book, be confused, read it again, be more confused, ask friends to read it and have them be confused. I don't know how educators get away with writting books of such low quality-- and I have even less of an idea how a school chooses to use such a book. Minimally, instructors should be looking here to see the absolutely horrible feedback on this book and CHOOSE A DIFFERENT TEXT! It seems the only reason why my summer school is using this book is due to the fact that it was written by some professors here. For such a prestigous university that surely strikes of a highly unintelligent decision.
from a student..........2007-06-25
I did appreciate the applications approach, but I felt like with almost every lesson that there were not nearly enough practice problems. A formula would be introduced with only two practice problems, only one of which is in the back of the book (of course). In my study groups, we would work those same two problems a few times and feel confident, then bomb the exam. If I remember correctly, I believe you can order an extra workbook in this series. I would recommend this text IN ADDITION to a workbook.
The biggest problem that I saw with my department adopting this textbook is that the instructors really do not teach the applications approach. I would go home to study and find that the text did not follow at all what we were covering in class. The innovative approach of the textbook was thereby lost as we flipped back and forth between the chapters trying to cobble together problems to match lectures.
Wonderful precalculus deep inside the functions and modeling.......2006-05-10
I really have difficulties to understand some reviewers given one star for such a wonderfull book. If you read this book before Uni, you will have a stable ground for calculus.
All frequently used functions and their practical usage as modelling tools are lucidly explained. I finally know what hyperbolic functions are, I finally know how the path from given data to an appropriate model. I finally know how can I practically sketch seemingly complex but simple functions.
It's strength based on model oriented approach to functions. This has pratical value for all candidate engineers...
Without any doubt I'll give five stars to acknowledge the authors.
Incomplete, discouraging, Unhelpfull book that only hinders the learning process.......2006-04-27
This is probably the most incoplete, inarticulate book I've ever used so far in my 3 years in college. It fails to COMPLETELY explain ALL THE MANY concepts you will ,sort-of ummmm, need to pass the class,tests or even complete the problems within the book. Expect to buy at least one other pre-calc text to clearly explain EVERYTHING this book consistently DOESN'T. This book is not a student-friendly one, its more of an EXPERT MATHEMETICIAN-FRIENDLY text book, written for people who already have lots of experience with pre-calculous. First time precalculous students should not actually expect to learn from this book or be able to count on this book as a reliable source to turn to during homework assignments or study sessions... As this book consistently fails to articulate even the most simple of precalculous concepts. If you don't beleive mine along with most other negative ratings of this book, go ahead and compare this book to almost any other precalc text book for yourself. You'll quickly see that EVEN THOUGH YOU'VE PAID A GENEROUS AMOUNT OF MONEY FOR THIS BOOK TO TEACH YOU, this book FAILS TO PERFORM EVERY SINGLE STEP OF THE WAY, PARTICULARLY when you need it to CLEARLY EXPLAIN SOMETHING TO YOU most. REALLY THIS BOOK ONLY MAKES IT HARDER TO UNDERSTAND ANYTHING IT ATTEMPTS TO EXPLAIN. My recommendation is that you buy "THE COMPLETE IDIOTS GUIDE TO PRECALCULOUS" by W. Michael Kelly, an author who thouroughly prooves his TEACHING SKILLS, COMPETENCE and ABILITY TO SUCCESFULLY ARTICULATE concepts so students can actually get some learning out of the time they spend reading his CLEAR, HELPFULL EXPLENATIONS that will actually help you in precalculous.
A travesty for the money.......2006-01-19
The only reason I give it two stars is that the word problems and models are interesting and realistic. The student solutions manual is a rip-off because it does not model each type of problem, nor does it lend itself to greater understanding and clarification. I usually get straight "A's" in math courses because I pour all effort necessary into homework and understanding. I just find myself being frustrated every time I open this book. The examples in each chapter just give me a headache. It is assuming and poorly written. Colleges that require this book for courses in pre-calc and trig should think twice.
Book Description
This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. For mathematicians and those in the field of computer science.
Customer Reviews:
Could be better.......2005-11-20
I don't think this is a good book for learning from, but if you know the material, it is a good reference.
Differential equation text.......2005-09-26
The textbook was in good condition and i recieved within a week
Pretty good.......2004-04-26
Not a bad book at all. Physical applications well explained, theory OK but not as good in my opinion. Unfortunately, contains a fair number of typos, and the book is physically weak (the binding of mine is splitting after only 4 months of use) for a book of this price. Still, pretty good overall.
A good differential equations textbook.......2003-08-12
I think the strength of this textbook is the amount of material it encompasses: this book is used in two separate courses in my school--introduction to DE and engineering analysis. I didn't appreciate the textbook so much until I completed my differential equations course and then looked back at the sections on mechanical vibrations to review for my physics course. I then realized that the explanations and derivations were extremely satisfying, much more than your average introductory physics text. Also, the emphasis on the qualitative aspects of DEs, such as slope fields and phase portraits, aid in the coneptual understanding of the otherwise rigorous computation aspects of the topic. My only complaint is that the proofs could've been done in a more understandable manner.
NO!!!!!!!.......2003-07-17
On the whole I wasn't satisfied with the book. In all fairness I did take DE as a summer class. Maybe that's why I don't have fond memories of this book. I'm not an engineering major. I'm not physics major. I found the books almost constant reliance on engineering and physics to introduce concepts to be very disappointing. I think the book lacks balance. Also I found some of the examples lacking. I found better explanations of identical topics in my calculus book (Larson) and in my linear algebra book (Kolman). An engineer that I know tried to use the book to review some stuff and found it fairly useless. Dover makes some good cheap DE book.
Book Description
This new Fifth Edition of Zill and Cullen's best-selling book provides a thorough treatment of boundary-value problems and partial differential equations. This edition maintains all the features and qualities that have made Differential Equations with Boundary-Value Problems popular and successful over the years. Written in a straightforward, readable, helpful, not-too-theoretical manner, this new edition keeps the reader firmly in mind and strikes a perfect balance between the teaching of traditional content and the incorporation of evolving technology.
Customer Reviews:
diffcult text for the DE student .......2007-09-24
The written derivations and examples were brief and difficult to understand. I gave up on using this book for learning DE,only use to practice problems required for assignment. After finding alternative study links, did the DE aspects become clearer. Solution manual did not bring much to the table either.
other DE books to choose from.......2007-04-18
I've run down most, if not all, of the available introductory DE books in my review of Boyce/Diprima (a book to be avoided by the way): Elementary Differential Equations and Boundary Value Problems , 8th Edition, with ODE Architect CD
ADVANCED MATHMATICS.......2006-07-25
IT'S A GREAT BOOK FOR MATH LOVERS. YET IN THE EXAMPLES THROUGHOUT THE BOOK THE AUTHOR SKIPS MANY STEPS, SO YOU HAVE TO KNOW ALGEBRA, INTEGRATION, DIRRENTATION, AND SUMS VERY WELL TO UNDERSTAND WHAT THE AUTHOR IS DOING.
Dense; Not for Self Study........2005-02-12
VCR directions. Especially how it explains variation of parameters (2.3). If you are a math whiz, this text is for you. If not, try to get a copy of Dr. Kapoor's _Differential Equations: Step by Step E-Z Math Cards_. By the way, Zill's Solutions Manuel simply omits explanations for many odd-numbered problems, so good luck.
Old, but good.......2004-12-31
This is a good introduction to DE without alot of the unnecessary textual pollution often found in math texts. It's been around awhile (I used this one some years ago) but I found it was among the simplest, clearest, and best-written math texts because its approach assumes no prior knowledge of DE. From basic equations such as the famous Bernoulli to more complicated boundary-value issues, I was able to gain a solid and more complete understanding of the multivariable calculus I had just attended as well as preparation for higher math. Although it's been awhile, I do recall some errors in this book (as another reviewer has mentioned), so be aware.
Recommended.
Book Description
Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.
* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.
* Includes an appendix on the Riesz representation theorem.
Customer Reviews:
typical expensive and unenlightening math text.......2006-11-08
This text is more suited as a review for someone
who already knows the results. There is very
little in the way of motivation for the various
definitions.
Functional analysis.......2006-02-23
This is a very elegant text. The analysis theorems and proofs are well explained and connected with operator theory. The exercises are well chosen to further the reader's understanding of the subject.
I strongly recommend this book both as a class text and as a refence volume.
Excellent.......2004-02-20
Peter D Lax is one of the great mathematicians of the 2nd half of the 20th century. Buy this book if only to have it on your bookshelf. After a long day of suffering fools and putting up with the latest insanities of your university administrators, leaf through Lax's book to recover. This is mathematics at its best. What better use can we put mathematics to, than to help us regain our sanity in a world that's gone mad.
Brings the subject to life!.......2002-08-02
The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with
seminal theorems due to Banach, Hilbert, von Neumann, Herglotz, Hausdorff, Friedrichs, Steinhouse,...and many other of, the perhaps less well known, founding fathers, in Central Europe (at the time), in the period between the two World Wars. It gained from there because of its many sucess stories,- in proving new theorems, in unifying old ones, in offering a framework for
quantum theory, for dynamical systems, and for partial differential equations. The Journal of Functional Analysis, starting in the 1960ties, broadened the subject, reaching almost all branches of science, and finding functional analytic flavor
in theories surprisingly far from the original roots of the subject. Peter Lax has himself,-- alone and with others, shaped some of greatest successes of the period, right up to the present. That is in the book!! And it offers an upbeat outlook for the future. It has been tested in the class room,-it is really user-friendly. At the end of each chapter P Lax ofers personal recollections;-- little known stories of how several of the pioneers in the subject have been victims,- in the 30ties and the 40ties, of Nazi atrocities. The writing is crisp and engaged,- the exercises are great;- just
right for students to learn from. This is the book to teach from.
Book Description
Are You Getting The Most From Your Blood Tests?
Sick and tired of telling your patients that their blood tests look normal when you know they are far from it? This manual presents a diagnostic system of blood chemistry and CBC analysis that focuses on physiological function as a marker of health. By looking for optimum function we increase our ability to detect dysfunctions long before disease manifests. Conventional lab testing becomes a truly preventative and prognostic tool. Whether you are well-seasoned doctor, or fresh from medical school, you will refer to this manual again and again.
You will discover how easy it is to:
Increase your competency with blood chemistry analysis and speak to your patients with authority when doing reports of findings.
Determine nutritional deficiencies in your patients and reduce your reliance on expensive outsourced labs.
Implement new tools and techniques to dramatically improve your clinical outcomes.
Cut the amount of time you spend analyzing your patients' blood tests.
Make your blood chemistry testing an indispensable screening tool.
Your blood chemistry analysis will finally mean something to you and your patients.
This book includes:
In-depth coverage of 52 blood tests with optimal and functional values.
62 patterns of functional disorders that most physicians do not get from normal reference ranges.
11 nutrient deficiencies that can be seen in blood chemistry and CBC tests.
36 special topics and in-office tests.
Full section of patterns that exist between multiple tests.
Blood chemistry and CBC tracking forms for both US reference units and Standard International Units available as a download.
This best selling manual on Blood Chemistry Analysis has shown hundreds of doctors how to do a functionally oriented blood chemistry analysis. What are you waiting for?
Customer Reviews:
Blood tests beyond the reference range.......2007-04-24
Functional analysis of blood tests goes far beyond looking at reference ranges (which are commonly mistaken for optimal ranges.) However aspects of blood chemistry which are normal, compared with abnormalities in other aspects may lead to an understanding of impaired immunological or endocrine function. Weatherby clearly describes how to analyze blood chemistry and CBC tests in this book. If you deal with blood test analysis, read this book.
Book Description
This book provides a comprehensive introduction to complex variable theory and its applications to current engineering problems and is designed to make the fundamentals of the subject more easily accessible to readers who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout, so that the mathematical methodology appears less sterile to engineers. It makes frequent use of analogies from elementary calculus or algebra to introduce complex concepts, includes fully worked examples, and provides a dual heuristic/analytic discussion of all topics. A downloadable MATLAB toolbox--a state-of-the-art computer aid--is available.
Complex Numbers. Analytic Functions. Elementary Functions. Complex Integration. Series Representations for Analytic Functions. Residue Theory. Conformal Mapping. The Transforms of Applied Mathematics. MATLAB ToolBox for Visualization of Conformal Maps. Numerical Construction of Conformal Maps. Table of Conformal Mappings. Features coverage of Julia Sets; modern exposition of the use of complex numbers in linear analysis (e.g., AC circuits, kinematics, signal processing); applications of complex algebra in celestial mechanics and gear kinematics; and an introduction to Cauchy integrals and the Sokhotskyi-Plemeij formulas.
For mathematicians and engineers interested in Complex Analysis and Mathematical Physics.
Customer Reviews:
Excellent Book!.......2006-04-23
First let me say that this book was an introduction to the subject for me. After reading the first six chapters, and working through most of the problems, I have to say this book is great. I highly recommend this to anyone who is learning on there own. In particular, the chapter on residues is excellent. The chapter on series is also good, although I would have liked more worked examples for proofs involving uniform convergence. Also, a little more emphasis on the Arguement would have been nice. Nevertheless, 5/5 for this one, it is extremely well written and the authors really provide motivation for the theorems to come. This is definitely one of the best math books I have read. Great buy, worth every penny.
Good Introductory Book.......2004-01-28
This was the book that I learned Complex Analysis from. Definitely made the subject accessible to pretty much any reader. Plenty of exercises: some more theoretical, some more applied. It skillfully straddles the gap between being a theoretical math book and a math book for people with more applied aims (such as engineers). Most topics are covered thoroughly, though certain more complicated subjects such as winding number are left out for simplicity.
This book definitely prepared me for tackling the dense, theoretical, and exceptional "Complex Analysis" by Ahlfors. I'd recommend it as an introductory book for anyone trying to get into the subject who is intimidated by Ahlfors, as well as for anyone who is only interested in the essential commonly-applied tools.
down to earth book for people like you and me.......2001-12-10
I have just finished a class using this book, and on the whole its done a good job. I didn't find it in any way super special or anything, but I could read it and understand it. As far as math books go that is pretty good. Lots of exercises with answers in the back, which is what you need. Usually there are worked out examples of the most standard problems, but not always, e.g. there is no example of residue calculus with a Log function.
Average customer rating:
|
Measure Theory and Integration (Pure and Applied Mathematics)
M.M. Rao
Manufacturer: Marcel Dekker
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A Modern Theory of Integration (Graduate Studies in Mathematics)
ASIN: 0824754018 |
Book Description
Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition · provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals · contains extended discussions on the four basic results of Banach spaces · presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties · details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions · covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.
Customer Reviews:
Jon's Review.......2002-04-18
Simply put, M.M. Rao's "Measure Theory and Integration" is an awesome book. It is truly the "Encyclopedia Britannica" of Real Analysis textbooks. This math textbook/reference book contains the most general, yet practical, theorems on the subject known to mankind. I cannot recommend it highly enough.
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